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Finding the Fourth Proportional to 71,590.80, 107,386.58 and 24,206.20

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Solution

The fourth proportional to 71,590.80, 107,386.58 and 24,206.20 is: 36,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,590.80 : 107,386.58 = 24,206.20 : x
  2. Step 2: Convert to fraction form
    71,590.80/107,386.58 = 24,206.20/x
  3. Step 3: Cross multiply
    71,590.80x = 107,386.58 × 24,206.20
  4. Step 4: Simplify right side
    71,590.80x = 2,599,421,032.80
  5. Step 5: Solve for x
    x = 2,599,421,032.80/71,590.80
  6. Step 6: Final answer
    x = 36,309.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.